著者

田邉 國士

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.21, no.4, pp.304-309, 2011-12-22 (Released:2017-04-08)

参考文献数

21

著者

田邉 國士

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.21, no.2, pp.139-143, 2011-06-24 (Released:2017-04-08)

参考文献数

13

著者

櫻井 鉄也

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.13, no.4, pp.308-317, 2003-12-25 (Released:2017-04-08)

参考文献数

14

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In this paper, we consider a method for finding certain eigenvalues of generalized eigenvalue problems in a given domain of the complex plane. We also discuss the relation between the presented method and the Lanczos method briefly. The presented method provides a good performance in parallel computations. A numerical example that was obtained on a PC cluster is included.

著者

山口 昌哉

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.7, no.1, pp.51-53, 1997-03-17 (Released:2017-04-08)

著者

茨木 俊秀

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.17, no.3, pp.246-249, 2007-09-26 (Released:2017-04-08)

参考文献数

8

著者

杉原 厚吉

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.1, no.4, pp.280-299, 1991-12-16 (Released:2017-04-08)

被引用文献数

1

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New approaches are presented to the problem of topological inconsistency caused by geometric algorithms implemented in finite-precision arithmetic. In geometric computation numerical errors often create inconsistency in topological structures and thus cause theoretically correct algorithms to fail. To overcome this problem two approaches are considered for the case of constructing the Voronoi diagram as an example. In the first approach, higher-precision arithmetic is used to construct a closed world in which topological structures are judged always precisely, and the symbolic perturbation technique is employed to avoid complicated branches of processing for degenerate cases. In the second approach, the highest priority is placed on the maintenance of topological consistency and numerical results are used as lower-priority information; the resultant algorithm is robust in the sense that inconsistency never arises and is correct in the sense that the output converges to the true solution as the precision becomes higher.

著者

蔵本 由紀

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.17, no.2, pp.175-177, 2007-06-26 (Released:2017-04-08)

参考文献数

4

被引用文献数

1

著者

小柳 義夫

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.26, no.2, pp.33-36, 2016-06-24 (Released:2016-09-30)

参考文献数

6

著者

石田 祥子 萩原 一郎

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.26, no.1, pp.15-21, 2016 (Released:2016-07-27)

参考文献数

23

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Conformal maps are applied for designing foldable forms. This method is able to produce the complicated developed patterns for the geometrical forms such as cones, disks, and tori with different main curvatures from the simple developed patterns for cylinders that are already known, based on the similarity of the quadrilateral elements that determine regular fold lines.

著者

及川 一誠 菊地 文雄

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.27, no.4, pp.33-38, 2017-12-22 (Released:2018-03-31)

参考文献数

12

被引用文献数

1

著者

鈴木 大慈

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.28, no.3, pp.27-33, 2018-09-26 (Released:2018-12-26)

参考文献数

16

著者

齊藤 宣一

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.19, no.4, pp.281-290, 2009-12-24 (Released:2017-04-08)

参考文献数

15

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We are concerned with numerical methods for the Keller-Segel system that describes the aggregation of slime molds resulting from their chemotactic features. Whereas the system has positivity and mass conservation properties, it is not certain that numerical schemes for the system preserve these conservation properties. In the present article, we review two conservative numerical schemes proposed by the author and discuss how to choose the time increments and the space meshes in order to realize those conservation properties. The first one is the finite-difference method that makes use of the semi-implicit time discretization with the time-increment control and the upwind difference approximation. The second is the finite-element method that is an application of Baba-Tabata's conservative upwind finite element. Conservative properties are proved via the theory of M-matrices. Error analysis of the finite-element scheme is also summarized. In particular, we have error estimates with explicit convergence rates by virtue of the analytical semigroup theory.

著者

伊理 正夫

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.3, no.1, pp.58-66, 1993-03-15 (Released:2017-04-08)

著者

小西 貞則

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.10, no.3, pp.198-217, 2000-09-17 (Released:2017-04-08)

参考文献数

63

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The problem of evaluating the goodness of statistical models is fundamental and of importance in various fields of statistics, natural sciences, neural networks, engineering, economics, etc. Akaike's . information criterion, known as AIC, provides a useful tool for constructing statistical models, and a number of successful applications of AIC in statistical data analysis have been reported. AIC is a criterion for evaluating the models estimated by the maximum likelihood method. With the development of various non-linear modeling techniques, the construction of criteria which enable us to evaluate various types of statistical models has been required. The aim of this paper is to give a systematic account of some recent developments in model evaluation criteria from information-theoretic and Bayesian points of views. We intend to provide a basic expository account of the fundamental principles behind information criteria. We also discuss the application of the bootstrap methods in model evaluation problems.

著者

手塚 集

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.8, no.4, pp.267-276, 1998-12-15 (Released:2017-04-08)

参考文献数

13

被引用文献数

1

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This paper surveys recent developments on numerical algorithms for high dimensional multiple integration. First, we present Wozniakowski's theorem published in 1991, which revealed a remarkable connection between the integration error and the discrepancy via the classical Wiener measure. Then, we introduce low-discrepancy sequences, by means of which one can compute the arithmetic mean of a number of sample values of the integrand as an approximation to the integration. As a concrete construction method of low-discrepancy sequences, we give the definition of generalized Niederreiter sequences and a brief introduction of Niederreiter-Xing sequences, which are constructed by using algebraic function fields. Finally, we describe Smolyak's algorithm, which is an algorithm computing the weighted mean of sample values of the integrand. Sample points that this algorithm uses are called hyperbolic cross points. An interesting result by Wasilkowski and Wozniakowski on this algorithm is presented.

著者

西森 拓 西村 信一郎

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.24, no.2, pp.59-65, 2014-06-25 (Released:2017-04-08)

被引用文献数

1

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Foraging efficiency of ant colony is studied along the idea of strategy of errors. Strategy of errors is a seemingly-paradoxical group-tactics proposed by Deneubourg, meaning that errors of individual ants in following trail pheromone, rather, increase the efficiency of pheromone-mediated group foraging. In this paper, we first explain the basic idea of strategy of errors, thereafter, extend Deneubourg's original model to entrain more realistic processes. Through numerical calculations of the present model, we obtain two results: i) there are cases where non-uniform (element-dependent) distribution of the degree of errors in an ant colony enables the colony to make an optical foraging, ii) according to the variation of food-supplying environment, a transition of the optimal distribution of errors from the non-uniform distribution to the uniform distribution takes place. These results indicate that the idea of strategy of errors has a more scalability than that originally considered.

著者

藤井 眞理子

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.14, no.2, pp.191-192, 2004-06-25 (Released:2017-04-08)

著者

村松 純

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.8, no.2, pp.165-166, 1998-06-15 (Released:2017-04-08)

著者

青木 康憲 速水 謙 小長谷 明彦

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.24, no.4, pp.151-159, 2014-12-25 (Released:2017-04-08)

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As the observations we can make from patients are limited compared to the complexity of the physiology, underdetermined inverse problems appear often in the parameter estimation problems of physiologically based pharmacokinetics (PBPK) models. We address this issues of not being able to identify the model parameter set uniquely by finding multiple sets of possible parameter sets that are consistent with the observations. As this approach requires multiple parameter estimations of a complex model, the computational cost can be a bottle neck. In this paper, we introduce a new computationally efficient algorithm called the Cluster Newton method to find multiple solutions of an underdetermined inverse problem.

著者

桂 利行

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.14, no.3, pp.290-294, 2004-09-28 (Released:2017-04-08)